MATHEMATICS HIGH SCHOOL

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?

Answers

Answer 1
Answer: The ladder that extends from the floor to the storeroom makes a right triangle.  The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees. 
Answer 2
Answer:

Answer:

30 degrees

Step-by-step explanation:

because i said so

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What multiplies to -900 and adds to 5?

Answers

xy = -900
x + y = 5

     x + y = 5
x - x + y = -x + 5
           y = -x + 5

                                                xy = -900
                                      x(-x + 5) = -900
                                  x(-x) + x(5) = -900
                                       -x² + 5x = -900
                             -x² + 5x + 900 = 0
               -1(x²) - 1(-5x) - 1(-900) = 0
                          -1(x² - 5x - 900) = 0
                                       -1            -1
                               x² - 5x - 900 = 0
                               x = -(-5) ± √((-5)² - 4(1)(-900))
                                                      2(1)
                               x = 5 ± √(25 + 3600)
                                                  2
                               x = 5 ± √(3625)
                                             2
                               x = 5 ± 5√(145)
                                           2
                               x = 2.5 ± 2.5√(145)

                          x + y = 5
   2.5 ± 2.5 √(145) + y = 5
- (2.5 ± 2.5√(145)       - (2.5 ± 2.5√(145)
                                y = 2.5 ± 2.5√(145)
                          (x, y) = (2.5 ± 2.5√(145), 2.5 ± 2.5√(145))

The two numbers that add up to 5 and multiply to -900 are 2.5 ± 2.5√(145).

Three workers arrive at work 15 minutes late, at a cost of $11/hour how will it cost company?

Answers

1h=60min\n\n\begin{array}{ccc}60min&-&\$11\n\n15min&-&\$x\end{array}\n\n\ncross\ multiply:\n\n60x=11\cdot15\ \ \ /:60\n\nx=(11\cdot15)/(60)\n\nx=(11)/(4)\n\nx=2.75\ (\$)\leftarrow Answer



other\ method:\n\n\$11\ -\ 60min\ \ \ \ /:4\n\n\$11:4\ -\ 60min:4\n\n\$2.75\ -\ 15min

Answer:a\ cost\ (\$2.75)/(15min)

What is the slope-intercept form of the linear equation 2x–8y=322x–8y=32 ?

Answers

2x - 8y = 32
-8y = -2x + 32
y = (-2/-8)x - 32/8
y = 1/4x - 4 <== slope intercept form

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:

3/5

Step-by-step explanation:

prependicular / hypotenuse

sin C=ED/CD

=3/5

A helicopter hovers 1050 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 30 degrees. How far off the coast, to the nearest foot, is the island?

Answers